| On Locally Noetherian Modules |
| Received:October 20, 1997 |
| Key Words:
locally noetherian module finitely cogenerated module X-modu
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| Fund Project:Supported by the National Natural Science Foundation of China (19501007) |
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| Abstract: |
| This paper is devoted to give some characterizations of locally noetherian modules by finitely cogenerated modules and generalized injective modules. It is proved that a left R-module M is locally noetherian if and only if every direct sum of M-injective left R-modules in σ[M] is the direct sum of a finitely cogenerated left R-module and a quasi-continuous (or, continuous, or, direct-injective, etc,) left R-module. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2000.04.003 |
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